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Finding the Third Proportional to 20,058 and 40,603

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Solution

The third proportional to 20,058 and 40,603 is: 82,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 40,603 = 40,603 : x
  2. Step 2: Convert to fraction form
    20,058/40,603 = 40,603/x
  3. Step 3: Cross multiply
    20,058x = 40,603 × 40,603
  4. Step 4: Simplify right side
    20,058x = 1,648,603,609
  5. Step 5: Solve for x
    x = 1,648,603,609/20,058
  6. Step 6: Final answer
    x = 82,191.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.